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Finding the Fourth Proportional to 5,890.34, 8,835.52 and 2,768.06

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Solution

The fourth proportional to 5,890.34, 8,835.52 and 2,768.06 is: 4,152.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.34 : 8,835.52 = 2,768.06 : x
  2. Step 2: Convert to fraction form
    5,890.34/8,835.52 = 2,768.06/x
  3. Step 3: Cross multiply
    5,890.34x = 8,835.52 × 2,768.06
  4. Step 4: Simplify right side
    5,890.34x = 24,457,220.48
  5. Step 5: Solve for x
    x = 24,457,220.48/5,890.34
  6. Step 6: Final answer
    x = 4,152.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.